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laila [671]
3 years ago
7

E

Mathematics
1 answer:
laiz [17]3 years ago
8 0

Answer:

  44x +56y = 95

Step-by-step explanation:

To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.

The midpoint is the average of the coordinate values:

  ((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)

The differences of the coordinates are ...

  (3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)

Then the perpendicular bisector equation can be written ...

  Δx(x -h) +Δy(y -k) = 0

  5.5(x -0.25) +7(y -1.5) = 0

  5.5x -1.375 +7y -10.5 = 0

Multiplying by 8 and subtracting the constant, we get ...

  44x +56y = 95 . . . . equation of the perpendicular bisector

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2 years ago
. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i
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Error of Andrew: Made incorrect factors from the roots

Step-by-step explanation:

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(x - 3), (x - 2 - 2i), (x - 2 + 2i) are factors of the required polynomial.

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(x - 3)(x - 2 - 2i)(x - 2+2i)=0\\\\ (x-3)(x^{2}-2x+2xi-2x+4-4i-2xi+4i-4i^{2})=0\\\\ (x-3)(x^{2}-4x+4+4)=0\\\\ (x-3)(x^{2}-4x+8)=0\\\\ x^{3}-4x^{2}+8x-3x^{2}+12x-24=0\\\\ x^{3}-7x^{2}+20x-24=0

7 0
3 years ago
What is the distributive property of 24+40
Scorpion4ik [409]
(20+40)+4

So basically the easiest way to remember is for example:
Normal: 69+45
Distributive property: (60+40)+9+5
———————————————————
So if you have 24 you need to distribute the numbers to make them into tens. That’s how you get 4.
———————————————————
I didn’t explain it very well but hope it helped a little bit.
8 0
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